IF EFGH is a rhombus, find the measure of \(\angle FGE\). (8x - 49)\(\degree\) (5x - 7)\(\degree\) In rhombus ABCD, the diagonals \(\overline{AC}\) and \(\overline{BD}\) intersect at E. If AE = 5 and BE = 12, what is the length of \(\overline{AB}\)? [HINT: Sketch the figure before solving.]
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Since a rhombus has all sides equal, we can label the length of AB as x. Now, let's use the given information. We know that AE = 8 and BE = 12. Since AE and BE are diagonals of the rhombus, they bisect each other. This means that AE = EC and BE = ED. So, Show more…
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